1. The problem statement, all variables and given/known data Suppose f(x,y) = 2x^5 + 4xy + 2y^3 g1(u,v) = u^2 - v^2 g2(u,v) = uv h(u,v) = f(g1(u,v), g2(u,v)) Use chain rule to calculate: dh/du (1,-1) and dh/dv (1,-1) 2. Relevant equations 3. The attempt at a solution i let h (u,v) = 2(u^2 - v^2)^5 + 4(u^2-v^2)(uv) + 2(u-v)^3 then i tried drawing a chain rule tree diagram: h --> f --> g1 and g2 g1 --> x and y g2 --> x and y so dh/du = (dh/df . df/dx . dx/du) + (dh/df . df/dy . dy/du) then i got stuck :S help please?